Can you help me solve this Physics problem?!!
The centripetal force F on a spacecraft in circular orbit around the Earth is given by the equation F= mv^2/r
where
v is the orbital speed of the spacecraft
r =9.6 x 10.6^3km, is the radius of the orbit from the centre of Earth
m is the mass f the space craft
The centripetal force is in fact the gravitational force of the Earth pulling on the spacecraft as given by F = G ME m/r^2 where
G= 6.67 x 10^-11 m^3 kg^-1 s^-2 is a constant,
Me = 5.98 x 10^24 kg is the mass of the Earth.
a) Show that the units of the left-hand side and right hand side of the following equation are consistent
mv2/r = GMEm/r2
b) Calculate the orbital speed of the spacecraft
Please show the step-by-step solution.
where
v is the orbital speed of the spacecraft
r =9.6 x 10.6^3km, is the radius of the orbit from the centre of Earth
m is the mass f the space craft
The centripetal force is in fact the gravitational force of the Earth pulling on the spacecraft as given by F = G ME m/r^2 where
G= 6.67 x 10^-11 m^3 kg^-1 s^-2 is a constant,
Me = 5.98 x 10^24 kg is the mass of the Earth.
a) Show that the units of the left-hand side and right hand side of the following equation are consistent
mv2/r = GMEm/r2
b) Calculate the orbital speed of the spacecraft
Please show the step-by-step solution.
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Just quoting in Danny Dorito so she can move the thread if needed
Are you sure you've posted in the right place? Here's a link to our subject forum which should help get you more responses if you post there. Just quoting in Danny Dorito so she can move the thread if needed
Spoiler
Original post by Sniper91
The centripetal force F on a spacecraft in circular orbit around the Earth is given by the equation F= mv^2/r
where
v is the orbital speed of the spacecraft
r =9.6 x 10.6^3km, is the radius of the orbit from the centre of Earth
m is the mass f the space craft
The centripetal force is in fact the gravitational force of the Earth pulling on the spacecraft as given by F = G ME m/r^2 where
G= 6.67 x 10^-11 m^3 kg^-1 s^-2 is a constant,
Me = 5.98 x 10^24 kg is the mass of the Earth.
a) Show that the units of the left-hand side and right hand side of the following equation are consistent
mv2/r = GMEm/r2
b) Calculate the orbital speed of the spacecraft
Please show the step-by-step solution.
where
v is the orbital speed of the spacecraft
r =9.6 x 10.6^3km, is the radius of the orbit from the centre of Earth
m is the mass f the space craft
The centripetal force is in fact the gravitational force of the Earth pulling on the spacecraft as given by F = G ME m/r^2 where
G= 6.67 x 10^-11 m^3 kg^-1 s^-2 is a constant,
Me = 5.98 x 10^24 kg is the mass of the Earth.
a) Show that the units of the left-hand side and right hand side of the following equation are consistent
mv2/r = GMEm/r2
b) Calculate the orbital speed of the spacecraft
Please show the step-by-step solution.
You just need to rearrange the equation and plug in the numbers.
Ek = 0.5mv^2
(v^2)/r = a = force / unit mass = GM/r^2 so v^2 = GM/r
1/2 * m * v^2 = 1/2 * m * GM/r = GMm/2R = kinetic energy at chosen point for the orbital object due to its rotation.
For B, we have the kinetic energy formula. 0.5*m*v^2 = GMm/2R, rearrange for V, put in numbers, you get the result.
Hope I'm correct :_;
(v^2)/r = a = force / unit mass = GM/r^2 so v^2 = GM/r
1/2 * m * v^2 = 1/2 * m * GM/r = GMm/2R = kinetic energy at chosen point for the orbital object due to its rotation.
For B, we have the kinetic energy formula. 0.5*m*v^2 = GMm/2R, rearrange for V, put in numbers, you get the result.
Hope I'm correct :_;
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